Update parent and pivot of multiple children
Possibly, when parenting, what you're looking for is CtrlP > Object (Without Inverse), or, after parenting , with the children selected, Object menu > Clear > Origin. It is odd, IMO, that the Object menu > Parent item doesn't offer the first of these options.

The manual advertises (as in 2.79) the keyboard shortcuts CtrlShiftP for parenting this way, and AltO for clearing the origin. However, in my build, these shortcuts seem to have been removed. Having checked for conflicts, I've put them back without appearing to do any harm.